Haar wavelet method for solution of variable order linear fractional integro-differential equations

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dc.contributor.authorAmin, Rohul
dc.contributor.authorShah, Kamal
dc.contributor.authorAhmad, Hijaz
dc.contributor.authorGanie, Abdul Hamid
dc.contributor.authorAbdel-Aty, Abdel-Haleem
dc.contributor.authorBotmart, Thongchai
dc.date.accessioned2022-09-29T11:42:24Z
dc.date.available2022-09-29T11:42:24Z
dc.date.issued2022en_US
dc.departmentRektörlük, Bilişim Teknolojileri Uygulama ve Araştırma Merkezien_US
dc.description.abstractIn this paper, we developed a computational Haar collocation scheme for the solution of fractional linear integro-di erential equations of variable order. Fractional derivatives of variable order is described in the Caputo sense. The given problem is transformed into a system of algebraic equations using the proposed Haar technique. The results are obtained by solving this system with the Gauss elimination algorithm. Some examples are given to demonstrate the convergence of Haar collocation technique. For di erent collocation points, maximum absolute and mean square root errors are computed. The results demonstrate that the Haar approach is e cient for solving these equations.en_US
dc.identifier.doi10.3934/math.2022301en_US
dc.identifier.endpage5443en_US
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85122836262en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage5431en_US
dc.identifier.urihttps://hdl.handle.net/11467/5352
dc.identifier.urihttps://doi.org/10.3934/math.2022301
dc.identifier.volume7en_US
dc.identifier.wosWOS:000744993900027en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAIMS Pressen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectvariable-order fractional calculusen_US
dc.subjectfixed-point theoryen_US
dc.subjectGauss elimination methoden_US
dc.subjectHaar waveleten_US
dc.subjectnumerical approximationen_US
dc.titleHaar wavelet method for solution of variable order linear fractional integro-differential equationsen_US
dc.typeArticleen_US

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